10B QZZ Parallel and Perpendicular

Front

What does it mean for two lines to be parallel?

Back

Two lines are parallel if they have the same slope and will never intersect.

Front

What does it mean for two lines to be perpendicular?

Back

Two lines are perpendicular if the product of their slopes is -1.

Front

What is the slope of a line in the equation y = mx + b?

Back

The slope (m) represents the steepness of the line and the direction it goes.

Front

If a line has a slope of 5/8, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to it is -8/5.

Front

How can you determine if two lines are parallel using their equations?

Back

If the slopes of the two lines are equal, then the lines are parallel.

Front

How can you determine if two lines are perpendicular using their slopes?

Back

If the product of their slopes equals -1, then the lines are perpendicular.

Front

What is the slope of the line y = -6x + 2?

Back

The slope is -6.

Front

Which of the following equations is perpendicular to y = -6x + 2?

Back

y = 1/6x + 4 is perpendicular because its slope is 1/6.

Front

Given two points (15, 20) and (17, 18), how do you find the slope of the line they form?

Back

Slope = (y2 - y1) / (x2 - x1) = (18 - 20) / (17 - 15) = -1.

Front

Given two points (-22, -18) and (-20, -16), how do you find the slope of the line they form?

Back

Slope = (y2 - y1) / (x2 - x1) = (-16 + 18) / (-20 + 22) = 1.